The greatest common factor of 18 and 42 is:
(1 point)
Responses
2
2
6
6
9
9
18
6
To find the greatest common factor (GCF) of 18 and 42, we need to find the largest number that divides both 18 and 42 without leaving a remainder. We can do this by finding the prime factors of each number.
Let's start with the number 18. The prime factors of 18 are 2, 3, and 3.
Next, let's find the prime factors of 42. The prime factors of 42 are 2, 3, and 7.
To find the GCF, we need to determine the highest power of each common prime factor. In this case, both 18 and 42 have a common factor of 2 and 3. The highest power of 2 that divides both 18 and 42 is 2, and the highest power of 3 that divides both numbers is 1.
Therefore, the GCF of 18 and 42 is 2 * 3, which is 6.
So, the correct answer is:
6